Binary neutron star mergers using a discontinuous Galerkin-finite difference hybrid method
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arXiv
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| Format: | Preprint |
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2024
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| author | Deppe, Nils Foucart, Francois Bonilla, Marceline S. Boyle, Michael Corso, Nicholas J. Duez, Matthew D. Giesler, Matthew Hébert, François Kidder, Lawrence E. Kim, Yoonsoo Kumar, Prayush Legred, Isaac Lovelace, Geoffrey Most, Elias R. Moxon, Jordan Nelli, Kyle C. Pfeiffer, Harald P. Scheel, Mark A. Teukolsky, Saul A. Throwe, William Vu, Nils L. |
| author_facet | Deppe, Nils Foucart, Francois Bonilla, Marceline S. Boyle, Michael Corso, Nicholas J. Duez, Matthew D. Giesler, Matthew Hébert, François Kidder, Lawrence E. Kim, Yoonsoo Kumar, Prayush Legred, Isaac Lovelace, Geoffrey Most, Elias R. Moxon, Jordan Nelli, Kyle C. Pfeiffer, Harald P. Scheel, Mark A. Teukolsky, Saul A. Throwe, William Vu, Nils L. |
| contents | We present a discontinuous Galerkin-finite difference hybrid scheme that allows high-order shock capturing with the discontinuous Galerkin method for general relativistic magnetohydrodynamics in dynamical spacetimes. We present several optimizations and stability improvements to our algorithm that allow the hybrid method to successfully simulate single, rotating, and binary neutron stars. The hybrid method achieves the efficiency of discontinuous Galerkin methods throughout almost the entire spacetime during the inspiral phase, while being able to robustly capture shocks and resolve the stellar surfaces. We also use Cauchy-Characteristic evolution to compute the first gravitational waveforms at future null infinity from binary neutron star mergers. The simulations presented here are the first successful binary neutron star inspiral and merger simulations using discontinuous Galerkin methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19038 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Binary neutron star mergers using a discontinuous Galerkin-finite difference hybrid method Deppe, Nils Foucart, Francois Bonilla, Marceline S. Boyle, Michael Corso, Nicholas J. Duez, Matthew D. Giesler, Matthew Hébert, François Kidder, Lawrence E. Kim, Yoonsoo Kumar, Prayush Legred, Isaac Lovelace, Geoffrey Most, Elias R. Moxon, Jordan Nelli, Kyle C. Pfeiffer, Harald P. Scheel, Mark A. Teukolsky, Saul A. Throwe, William Vu, Nils L. General Relativity and Quantum Cosmology We present a discontinuous Galerkin-finite difference hybrid scheme that allows high-order shock capturing with the discontinuous Galerkin method for general relativistic magnetohydrodynamics in dynamical spacetimes. We present several optimizations and stability improvements to our algorithm that allow the hybrid method to successfully simulate single, rotating, and binary neutron stars. The hybrid method achieves the efficiency of discontinuous Galerkin methods throughout almost the entire spacetime during the inspiral phase, while being able to robustly capture shocks and resolve the stellar surfaces. We also use Cauchy-Characteristic evolution to compute the first gravitational waveforms at future null infinity from binary neutron star mergers. The simulations presented here are the first successful binary neutron star inspiral and merger simulations using discontinuous Galerkin methods. |
| title | Binary neutron star mergers using a discontinuous Galerkin-finite difference hybrid method |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2406.19038 |